41004000 has 288 divisors, whose sum is σ = 156383136. Its totient is φ = 10137600.

The previous prime is 41003993. The next prime is 41004023. The reversal of 41004000 is 40014.

41004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611967 + ... + 612033.

It is an arithmetic number, because the mean of its divisors is an integer number (542997).

Almost surely, 2^41004000 is an apocalyptic number.

41004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78191568).

41004000 is an abundant number, since it is smaller than the sum of its proper divisors (115379136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41004000 is a wasteful number, since it uses less digits than its factorization.

41004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 41004000 is about 6403.4365773388. The cubic root of 41004000 is about 344.8329373882.

Adding to 41004000 its reverse (40014), we get a palindrome (41044014).

It can be divided in two parts, 4100 and 4000, that added together give a square (8100 = 90²).

The spelling of 41004000 in words is "forty-one million, four thousand".